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  2. What is the difference between "mean value" and "average"?

    stats.stackexchange.com/questions/14089

    Mean, or Expected Value - is a theoretical property of a certain probability. Average is the observed/measured outcome of a certain sample. If a measured average diverge too much from the expected mean, it's a sign that the underlying probability assumption, or one of its properties, is wrong. This is the main distinction between the terms that ...

  3. So what we see is that you certainly can calculate the mean of the means, but the mean of the means and the mean of all the raw data don't match. We can also try a weighted average using @BilltheLizard's suggestion to use each group's sample size as a weight (the weights are indicated with the w argument):

  4. Which "mean" to use and when? - Cross Validated

    stats.stackexchange.com/questions/23117

    As an example: If you drive from New York to Boston at 40 MPH, and return at 60 MPH, then your overall average is not the arithmetic mean of 50 MPH, but the harmonic mean. AM = (40 + 60)/2 = 50 (40 + 60) / 2 = 50 HM = 2/(1/40 + 1/60) = 48 2 / (1 / 40 + 1 / 60) = 48. to check that this is right for this simple example, imagine it is 120 miles ...

  5. Mean independence is less restrictive as it is a one number summary of the values of u, for each level of x. To be more exact, mean independence between u and x would mean that for each value of x, a one number summary of the values of u, the average weighted by the conditional density function of u given x, is constant.

  6. The "e" is a symbol for base-10 scientific notation. The "e" stands for ×10exponent × 10 e x p o n e n t. So -1.861246e-04 means −1.861246 ×10−4 − 1.861246 × 10 − 4. In fixed-point notation that would be -0.0001861246. This notation is pretty standard. Even Microsoft Excel understands it, not just R. Thank you.

  7. Difference between Mean/average accuracy and Overall accuracy

    stats.stackexchange.com/questions/367272

    The mean accuracy is related to the mean accuracy achieved across ten different training folds. So they build 10 different models using non-overlapping data and test how consistently they perform. After cross validation an overall model is typically built using all the data from the 10 folds and this is what is used to predict the outcomes in ...

  8. Why does the Cauchy distribution have no mean?

    stats.stackexchange.com/questions/36027

    The nonexistence of the mean of Cauchy random variable just means that the integral of Cauchy r.v. does not exist. This is because the tails of Cauchy distribution are heavy tails (compare to the tails of normal distribution). However, nonexistence of expected value does not forbid the existence of other functions of a Cauchy random variable.

  9. 38. Winsorizing data means to replace the extreme values of a data set with a certain percentile value from each end, while Trimming or Truncating involves removing those extreme values. I always see both methods discussed as a viable option to lessen the effect of outliers when computing statistics such as the mean or standard deviation, but I ...

  10. You can just use a standard confidence interval for the mean: Bear in mind that when we calculate confidence intervals for the mean, we can appeal to the central limit theorem and use the standard interval (using the critical points of the T-distribution), even if the underlying data is non-normal.

  11. Their mean value is $\frac{111}{3}$=37. The base 10 logarithm of 37 is 1.57, which is the log of their mean value in the original scale. The base 10 logarithms of the original data are 0, 1, and 2; the mean of the logarithms is 1, corresponding to a value of 10 in the original scale.